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3130346520 = 2333571923137
BaseRepresentation
bin1011101010010101…
…0100110000011000
322002011022002011000
42322211110300120
522402332042040
61234342105000
7140400335460
oct27245246030
98064262130
103130346520
111366aa9744
1273441b160
133ab6c1962
14219a56ba0
15134c40130
hexba954c18

3130346520 has 768 divisors, whose sum is σ = 13342924800. Its totient is φ = 638254080.

The previous prime is 3130346503. The next prime is 3130346563. The reversal of 3130346520 is 256430313.

It is a happy number.

3130346520 is a `hidden beast` number, since 3 + 1 + 3 + 0 + 3 + 4 + 652 + 0 = 666.

It is a super-2 number, since 2×31303465202 = 19598138670552220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 84603942 + ... + 84603978.

It is an arithmetic number, because the mean of its divisors is an integer number (17373600).

Almost surely, 23130346520 is an apocalyptic number.

3130346520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3130346520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6671462400).

3130346520 is an abundant number, since it is smaller than the sum of its proper divisors (10212578280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3130346520 is a wasteful number, since it uses less digits than its factorization.

3130346520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 3130346520 is about 55949.4997296669. The cubic root of 3130346520 is about 1462.8421710889.

Adding to 3130346520 its reverse (256430313), we get a palindrome (3386776833).

The spelling of 3130346520 in words is "three billion, one hundred thirty million, three hundred forty-six thousand, five hundred twenty".